Home / 1,447.28-2,171.06-473.48

Finding the Fourth Proportional to 1,447.28, 2,171.06 and 473.48

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Solution

The fourth proportional to 1,447.28, 2,171.06 and 473.48 is: 710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.28 : 2,171.06 = 473.48 : x
  2. Step 2: Convert to fraction form
    1,447.28/2,171.06 = 473.48/x
  3. Step 3: Cross multiply
    1,447.28x = 2,171.06 × 473.48
  4. Step 4: Simplify right side
    1,447.28x = 1,027,951.12
  5. Step 5: Solve for x
    x = 1,027,951.12/1,447.28
  6. Step 6: Final answer
    x = 710.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.